Actually I'm astounded it isn't listed in there. The Place D'armes gets great reviews on the Trip Advisor web site. I've never stayed there, but have seen a couple of the rooms with other friends, and it really looks nice - the courtyard/pool area is fantastic!!

PDA is an outstanding hotel in the middle of the FQ. Here's a few good choices also.

Chateau Bourbon Hotel @ 800 Iberville Street New Orleans, LA 504 - 586 - 0800.
http://www.chateaubourbonneworleans.com/
Hotel Le Marais @ 717 Conti Street, New Orleans, LA 504 - 525 - 2300.
http://www.hotellemarais.com/
Hotel Monteleone @ 214 Royal Street, New Orleans, LA 504 - 523 - 3341.
http://hotelmonteleone.com/
Hotel Provincial @ 1024 Chartres Street, New Orleans, LA 504 - 581 - 4995.
http://www.hotelprovincial.com/
Hotel St. Marie @ 827 Toulouse Street, New Orleans, LA 504 - 561-8951.
http://www.hotelstmarie.com/
Place D'Armes Hotel @ 625 Saint Ann Street, New Orleans, LA 504 - 524 - 4531.
http://www.placedarmes.com/
Iberville Suites Hotel @ 910 Iberville St., New Orleans, LA 866 - 229 - 4351.
http://www.ibervillesuites.com/
Dauphine Orleans @ 415 Dauphine Street, New Orleans, LA 504 - 586 - 1800.
http://www.dauphineorleans.com/
Prince Conti Hotel @ 830 Conti St., New Orleans, LA 504 - 529 - 4172.
http://www.princecontihotel.com/

The courtyard is gorgeous! They have a range of rooms from really lovely to some bargain windowless rooms (My father-in-law loved these for the bargain price and sleeping in absolute darkness.)